Chirality and odd mechanics in active columnar phases

Chiral active materials display odd dynamical effects in both their elastic and viscous responses. We show that the most symmetric mesophase with 2D odd elasticity in three dimensions is chiral, polar, and columnar, with 2D translational order in the plane perpendicular to the columns and no elastic restoring force for their relative sliding. We derive its hydrodynamic equations from those of a chiral active variant of model H. The most striking prediction of the odd dynamics is two distinct types of column oscillation whose frequencies do not vanish at zero wavenumber. In addition, activity leads to a buckling instability coming from the generic force-dipole active stress analogous to the mechanical Helfrich-Hurault instability in passive materials, while the chiral torque-dipole active stress fundamentally modifies the instability by the selection of helical column undulations.

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Publication Details

Journal
PNAS Nexus
Published
2024-09-10
DOI
https://doi.org/10.1093/pnasnexus/pgae398
Citations
3
Primary Topic
Micro and Nano Robotics
Type
article
Field-Weighted Citation Impact
0.93

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article

Chirality and odd mechanics in active columnar phases

Sriraṁ Ramaswamy, S. J. Kole, Gareth P. Alexander, Ananyo Maitra
3 citations
PNAS Nexus
Micro and Nano Robotics
0.93
article

Chirality and odd mechanics in active columnar phases

Sriraṁ Ramaswamy, S. J. Kole, Gareth P. Alexander, Ananyo Maitra
article en
3 citations

Abstract

Chiral active materials display odd dynamical effects in both their elastic and viscous responses. We show that the most symmetric mesophase with 2D odd elasticity in three dimensions is chiral, polar, and columnar, with 2D translational order in the plane perpendicular to the columns and no elastic restoring force for their relative sliding. We derive its hydrodynamic equations from those of a chiral active variant of model H. The most striking prediction of the odd dynamics is two distinct types of column oscillation whose frequencies do not vanish at zero wavenumber. In addition, activity leads to a buckling instability coming from the generic force-dipole active stress analogous to the mechanical Helfrich-Hurault instability in passive materials, while the chiral torque-dipole active stress fundamentally modifies the instability by the selection of helical column undulations.

PNAS NexusVol. 3(10)
Tata Institute of Fundamental Research (IN), Centre National de la Recherche Scientifique (FR), University of Cambridge (GB), University of Warwick (GB), Sorbonne Université (FR), International Centre for Theoretical Sciences (IN), Laboratoire Jean Perrin (FR), Laboratoire de Physique Théorique (FR), CY Cergy Paris Université (FR), Indian Institute of Science Bangalore (IN)
Tata Institute of Fundamental Research, Agence Nationale de la Recherche, Indo-French Centre for the Promotion of Advanced Research, Engineering and Physical Sciences Research Council, Science and Engineering Research Board, Division of Mathematical Sciences
Sustainable cities and communities
Openalex Percentile: Top 27%
Micro and Nano Robotics
0.93
DOIOpen Access PDFOpenAlex
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Chirality and odd mechanics in active columnar phases — Sriraṁ Ramaswamy, S. J. Kole, et al. · PNAS Nexus (2024) | TGRS Research Map | TGRS